Thermodynamics of the three-dimensional Hubbard model: Implications for cooling cold atomic gases in optical lattices

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 83, Issue 2, 2011, Pages

  De Leo, Lorenzo ^a   Bernier, Jean Sébastien ^a   Kollath, Corinna ^a,b   Georges, Antoine ^a,c   Scarola, Vito W ^d  

^a CENTRE DE PHYSIQUE THÉORIQUE   (France)

^b UNIVERSITY OF GENEVA   (Switzerland)

^c Centre de Recherche Interdisciplinaire en Biologie   (France)

^d VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COOLING; CRYSTAL LATTICES; DISTRIBUTION FUNCTIONS; FERMIONS; HUBBARD MODEL; MEAN FIELD THEORY; OPTICAL LATTICES; OPTICAL MATERIALS; PARTICLE OPTICS; TEMPERATURE; THREE DIMENSIONAL COMPUTER GRAPHICS;

ADIABATIC EVOLUTION; COOLING PROCEDURE; DYNAMICAL MEAN-FIELD THEORY; HIGH TEMPERATURE; IDEALIZED MODELS; TEMPERATURE RANGE; THEORETICAL METHODS; TRAPPING POTENTIAL;

ATOMS;

EID: 79951531316     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.83.023606     Document Type: Article

References (53)

1. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108 81, 3108 (1998).
2. M. Greiner and S. Fölling, Na (Pubitemid 351793774)
3. A. Cho, Science SCIEAS 0036-8075 10.1126/science.320.5874.312 320, 312 (2008). (Pubitemid 351555635)
4. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.885 80, 885 (2008).
5. T. Esslinger, Annu. Rev. Condens. Matter. Phys. RMPHAT 1947-5454 10.1146/annurev-conmatphys-070909-104059 1, 129 (2010).
6. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002). (Pubitemid 34062442)
7. R. Jördens, N. Strohmaier, K. Günter, H. Moritz, and T. Esslinger, Nature (London) NATUAS 0028-0836 10.1038/nature07244 455, 204 (2008).
8. U. Schneider, L. Hackermüller, S. Will, T. Best, I. Bloch, T. A. Costi, R. W. Helmes, D. Rasch, and A. Rosch, Science SCIEAS 0036-8075 10.1126/science.1165449 322, 1520 (2008).
9. A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.68.13 68, 13 (1996).
10. V. W. Scarola, L. Pollet, J. Oitmaa, and M. Troyer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.135302 102, 135302 (2009).
11. J. A. Henderson, J. Oitmaa, and M. C. B. Ashley, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.46.6328 46, 6328 (1992).
12. D. F. B. ten Haaf and J. M. J. van Leeuwen, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.46.6313 46, 6313 (1992).
13. J. Oitmaa, C. Hamer, and W. Zheng, Series Expansion Methods for Strongly Interacting Lattice Models (Cambridge University Press, Cambridge, 2006).
14. W. Hofstetter, J. I. Cirac, P. Zoller, E. Demler, and M. D. Lukin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.220407 89, 220407 (2002).
15. F. Werner, O. Parcollet, A. Georges, and S. R. Hassan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.056401 95, 056401 (2005). (Pubitemid 41506154)
16. R. Jördens, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 104.180401 104, 180401 (2010).
17. K. Kubo, Prog. Theor. Phys. 64, 758 (1980).
18. K. Kubo and M. Tada, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.69.1345 69, 1345 (1983).
19. K. Kubo and M. Tada, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.71.479 71, 479 (1984).
20. P. Werner, A. Comanac, L. de' Medici, M. Troyer, and A. J. Millis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.076405 97, 076405 (2006). (Pubitemid 44273894)
21. R. Staudt, M. Dzierzawa, and A. Muramatsu, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510070120 17, 411 (2000).
22. T. Stöferle, H. Moritz, K. Günter, M. Köhl, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.030401 96, 030401 (2006). (Pubitemid 43248078)
23. L. De Leo, C. Kollath, A. Georges, M. Ferrero, and O. Parcollet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.210403 101, 210403 (2008).
24. A.-M. Dare, L. Raymond, G. Albinet, and A.-M. S. Tremblay, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.76.064402 76, 064402 (2007).
25. A. Koetsier, R. A. Duine, I. Bloch, and H. T. C. Stoof, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.023623 77, 023623 (2008). (Pubitemid 351391394)
26. S. Wessel, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.052405 81, 052405 (2010).
27. M. Köhl, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.031601 73, 031601 (2006). (Pubitemid 43374339)
28. H. G. Katzgraber, A. Esposito, and M. Troyer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.043602 74, 043602 (2006). (Pubitemid 44498316)
29. A. Georges and W. Krauth, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.48.7167 48, 7167 (1993).
30. E. V. Gorelik, I. Titvinidze, W. Hofstetter, M. Snoek, and N. Blümer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.065301 105, 065301 (2010).
31. E. Kozik, K. Van Houcke, E. Gull, L. Pollet, N. Prokof'ev, B. Svistunov, and M. Troyer, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/90/10004 90, 10004 (2010).
32. T. Maier, M. Jarrell, T. Pruschke, and M. H. Hettler, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.1027 77, 1027 (2005). (Pubitemid 43272529)
33. G. Kotliar, S. Y. Savrasov, K. Haule, V. S. Oudovenko, O. Parcollet, and C. A. Marianetti, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.78.865 78, 865 (2006).
34. R. W. Helmes, T. A. Costi, and A. Rosch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.056403 100, 056403 (2008). (Pubitemid 351220706)
35. C. Kollath, U. Schollwöck, J. von Delft, and W. Zwerger, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.031601 69, 031601 (2004).
36. M. Rigol, A. Muramatsu, G. G. Batrouni, and R. T. Scalettar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.130403 91, 130403 (2003).
37. M. Snoek, I. Titvinidze, C. Toke, K. Byczuk, and W. Hofstetter, New J. Phys. 1367-2630 10.1088/1367-2630/10/9/093008 10, 093008 (2008).
38. N. Gemelke, X. Zhang, C.-L. Hung, and C. Chin, Nature (London) NATUAS 0028-0836 10.1038/nature08244 460, 995 (2009).
39. W. S. Bakr, J. I. Gillen, A. Peng, S. Foelling, and M. Greiner, Nature (London) NATUAS 0028-0836 10.1038/nature08482 462, 74 (2009).
40. J. F. Sherson, C. Weitenberg, M. Endres, M. Cheneau, I. Bloch, and S. Kuhr, e-print arXiv: 1006.3799 (2010).
41. P. Würtz, T. Langen, T. Gericke, A. Koglbauer, and H. Ott, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.080404 103, 080404 (2009).
42. C. Zipkes, S. Palzer, C. Sias, and M. Köhl, Nature (London) NATUAS 0028-0836 10.1038/nature08865 464, 388 (2010).
43. J.-S. Bernier, C. Kollath, A. Georges, L. De Leo, F. Gerbier, C. Salomon, and M. Köhl, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.061601 79, 061601 (2009).
44. P. W. H. Pinkse, A. Mosk, M. Weidemüller, M. W. Reynolds, T. W. Hijmans, and J. T. M. Walraven, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.990 78, 990 (1997).
45. D. M. Stamper-Kurn, H.-J. Miesner, A. P. Chikkatur, S. Inouye, J. Stenger, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 81.2194 81, 2194 (1998).
46. M. Popp, J.-J. Garcia-Ripoll, K. G. Vollbrecht, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.013622 74, 013622 (2006). (Pubitemid 44156687)
47. B. Capogrosso-Sansone, Ş. Güneş Söyler, N. Prokof'ev, and B. Svistunov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77. 015602 77, 015602 (2008). (Pubitemid 351197996)
48. A. Griessner, A. J. Daley, S. R. Clark, D. Jaksch, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.220403 97, 220403 (2006). (Pubitemid 44838392)
49. T. Ho and Q. Zhou, Proc. Nat. Acad. Sci. PNASA6 0027-8424 10.1073/pnas.0809862105 106, 6916 (2009).
50. J. Catani, G. Barontini, G. Lamporesi, F. Rabatti, G. Thalhammer, F. Minardi, S. Stringari, and M. Inguscio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.140401 103, 140401 (2009).
51. T. Ho and Q. Zhou, e-print arXiv: 0911.5506.
52. N. Friedman, A. Kaplan, and N. Davidson, Adv. At. Mol. Opt. Phys. PRLTAO 1049-250X 10.1016/S1049-250X(02)80007-6 48, 99 (2002).
53. S. Fuchs, E. Gull, L. Pollet, E. Burovski, E. Kozik, T. Pruschke, and M. Troyer, e-print arXiv: 1009.2759.